23533 has 4 divisors (see below), whose sum is σ = 23868. Its totient is φ = 23200.

The previous prime is 23531. The next prime is 23537. The reversal of 23533 is 33532.

23533 is nontrivially palindromic in base 2 and base 8.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 14884 + 8649 = 122^2 + 93^2 .

It is a cyclic number.

It is not a de Polignac number, because 23533 - 2¹ = 23531 is a prime.

It is a Duffinian number.

23533 is a lucky number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16 + ... + 217.

It is an arithmetic number, because the mean of its divisors is an integer number (5967).

2²³⁵³³ is an apocalyptic number.

It is an amenable number.

23533 is a deficient number, since it is larger than the sum of its proper divisors (335).

23533 is a wasteful number, since it uses less digits than its factorization.

23533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334.

The product of its digits is 270, while the sum is 16.

The square root of 23533 is about 153.4046935397. The cubic root of 23533 is about 28.6566727978.

Subtracting 23533 from its reverse (33532), we obtain a palindrome (9999).

The spelling of 23533 in words is "twenty-three thousand, five hundred thirty-three".